MATHEMATICS HIGH SCHOOL

F c(x) = 4x – 2 and d(x) = x2 + 5x, what is (C o D)(x)?A) 4x^3 + 18x^2 – 10x
B) x^2 + 9x – 2
C) 16x^2 + 4x – 6
D) 4x^2 + 20x – 2

Answers

Answer 1
Answer:

The value for the compositefunction is 4x² + 20x - 2.

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find (C o D)(x), we need to substitute d(x) into c(x) and simplify the resulting expression.

First, we have:

C(D(x)) = 4D(x) - 2

Next, we substitute d(x) for x in the expression for D(x):

D(x) = x² + 5x

So,

C(D(x)) = 4(x² + 5x) - 2

Simplifying, we get:

C(D(x)) = 4x² + 20x - 2

Therefore,

The value for the compositefunction is 4x² + 20x - 2.

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Answer 2
Answer: \bf \begin{cases}c(x)=4x-2\n\nd(x)=x^2+5x\end{cases}\qquad thus\n\n\n(c\circ d)(x)\implies \begin{array}{llll}c(x)=&4x-2\n\nc[\ d(x)\ ]=&4(dx)-2\n\nc[\ \boxed{x^2+5x}\ ]= &4(\boxed{x^2+5x})-2\end{array}

distribute and simplify

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Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 4%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (Round your answer to one decimal place.)

Answers

Answer:

84.96 mg

Step-by-step explanation:

No = 100 mg

t = 6 hours, N = 96% of No = 96 / 100 No

t = 24 hours, N = ?

Let after 24 hours the remaining part is N.

Use the decay law equation

N = No e^-λt

96 / 100 = e^-6λ  

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taking natural log on both the sides

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Does the graph represent an exponential growth
or an exponential decay function?

Answers

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Answer:

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Answers

Answer:

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Dylan is at a fruit farm. So far he has 12 apples, Dylan starts walking and checks his basket, he only has 2 apples now. How many apples did Dylan lose?

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Answers

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Answers

The simplified form of the expression :

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Given,

2(4r+6)=2/3(12r+18)

Here,

2(4r+6)=2/3(12r+18)

Simplifying the above expression :

Multiply 2 inside the bracket,

8r +12 =  2/3(12r+18)

Multiply 2/3 inside the bracket,

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    2(4r + 6) = ²/₃(12r + 18)
2(4r) + 2(6) = ²/₃(12r) + ²/₃(18)
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     - 8r          - 8r
              12 = 12
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